110212133120 has 72 divisors (see below), whose sum is σ = 264189812544. Its totient is φ = 44051904512.

The previous prime is 110212133099. The next prime is 110212133123. The reversal of 110212133120 is 21331212011.

It is not an unprimeable number, because it can be changed into a prime (110212133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718267 + ... + 1781253.

It is an arithmetic number, because the mean of its divisors is an integer number (3669302952).

Almost surely, 2^110212133120 is an apocalyptic number.

110212133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132094906272).

110212133120 is an abundant number, since it is smaller than the sum of its proper divisors (153977679424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110212133120 is an equidigital number, since it uses as much as digits as its factorization.

110212133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64375 (or 64361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110212133120 its reverse (21331212011), we get a palindrome (131543345131).

The spelling of 110212133120 in words is "one hundred ten billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty".